Advances in Decision Sciences

Advances in Decision Sciences / 2000 / Article

Open Access

Volume 4 |Article ID 618498 | 13 pages | https://doi.org/10.1155/S1173912600000110

Comparison theorems for multicomponent diffusion systems: developments since 1961

Abstract

Comparison theorems may be used to prove the existence and uniqueness of solutions to certain types of partial differential equations. They provide bounds for solutions and can be used as the basis of numerical techniques for the computation of solutions. In 1961 Alex McNabb published one of the first papers extending their use to multi-component systems. Developments in the theory and applications of such results, through citations of this original paper, are reviewed.

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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